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Introduction -- The random walk -- Beyond the simple random walk -- Understanding interactions through cross-correlations -- Why care about a power law? -- The log-normal and extreme-value distributions -- When a single distribution is not enough? -- Explaining complex distributions with simple...
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Contents; Abbreviations; Introduction; 1 Random variables and probability distributions; 1.1 Particle descriptions of partial differential equations; 1.2 Random variables and stochastic processes; 1.3 The n-point probability distributions; 1.4 Simple averages and scaling; 1.5 Pair correlations...
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"The concept of local volatility as well as the local volatility model are one of the classical topics of mathematical … volatility function; b) construction of parametric or non-parametric regression of the local volatility surface suitable for fast … calibration; c) no-arbitrage interpolation and extrapolation of the local and implied volatility surfaces; d) extension of the …
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